{
  "id": "2211.10520",
  "version": "v1",
  "published": "2022-11-18T22:13:00.000Z",
  "updated": "2022-11-18T22:13:00.000Z",
  "title": "Finite abelian groups via congruences",
  "authors": [
    "Trevor D. Wooley"
  ],
  "comment": "3 pages",
  "categories": [
    "math.NT",
    "math.GR"
  ],
  "abstract": "For every finite abelian group $G$, there are positive integers $n$ and $d$ such that $G$ is isomorphic to the multiplicative group of $d$-th powers of reduced residues modulo $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-18T22:13:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "20K01"
    ],
    "keywords": [
      "finite abelian group",
      "congruences",
      "th powers",
      "reduced residues modulo"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}